浙江大学学报（理学版）2024，Vol.51Issue(3)：308-313,6.DOI:10.3785/j.issn.1008-9497.2024.03.008
G-非回归点的拓扑结构和G-平均跟踪性的动力学性质
Topological structure of G-non recurrent point and dynamical properties of G-average shadowing property
摘要
Abstract
In this paper,we introduce the concepts of G-non recurrent point and G-average shadowing property.Then,we study the topological structure of G-non recurrent point in the inverse limit space under group action and the dynamical properties of G-average shadowing property in metric G-space.The results are as follows:(1)The self-map f has G-non recurrent point if and only if the shift map σ has(G)-non recurrent point;(2)If fk has G-average shadowing property,then f has G-average shadowing property.These results generalize the conclusions of non recurrent point set of shift mapping in the inverse limit space and average shadowing property of iterative mapping in metric space.关键词
群作用/逆极限空间/G-非回归点/G-平均跟踪性Key words
group action/inverse limit space/G-non recurrent point/G-average shadowing property分类
数理科学引用本文复制引用
冀占江..G-非回归点的拓扑结构和G-平均跟踪性的动力学性质[J].浙江大学学报（理学版）,2024,51(3):308-313,6.基金项目
广西自然科学基金资助项目(2020JJA110021,2018JJB170034) （2020JJA110021,2018JJB170034）
梧州学院校级重点项目(2020B007). （2020B007）
